Question

6. Find the values of x and y. 30° 17

Answer 1

Answer:

X = 17√3

Y = 34

Step-by-step explanation:

TO calculate the values of X and y we use SOHCAHTOA.

Calculating for X

tan 30 = opposite/adjacent

tan30 = 17/X

Cross multiply

tan30 ×X = 17

Divide bothsides by tan30

Note: tan30= 1/√3

X = 17/1/√3

X=17√3

X= 29.4

X = 29 ( approximately)

Calculating for y

$sin30 = \frac{Opposite}{Hypothenus} \\ \\ sin30 = \frac{17}{y}$

Cross multiply

$sin30 \times y = 17$

Divide bothsides by sin30

$\frac{sin30 \times y}{sin30} = \frac{17}{sin30} \\ \\ y = \frac{17}{0.5} = 34 \\ y = 34$